Demirkale, Fatih; Donovan, Diane; Street, Deborah J. Constructing \(D\)-optimal symmetric stated preference discrete choice experiments. (English) Zbl 1278.62115 J. Stat. Plann. Inference 143, No. 8, 1380-1391 (2013). Summary: We give new constructions for DCEs in which all attributes have the same number of levels. These constructions use several combinatorial structures, such as orthogonal arrays, balanced incomplete block designs and Hadamard matrices. If we assume that only the main effects of the attributes are to be used to explain the results and that all attribute level combinations are equally attractive, we show that the constructed DCEs are \(D\)-optimal. Cited in 7 Documents MSC: 62K05 Optimal statistical designs 05B20 Combinatorial aspects of matrices (incidence, Hadamard, etc.) Keywords:discrete choice experiments; stated preference experiments; \(D\)-optimal designs; block designs; orthogonal arrays PDFBibTeX XMLCite \textit{F. Demirkale} et al., J. Stat. Plann. Inference 143, No. 8, 1380--1391 (2013; Zbl 1278.62115) Full Text: DOI References: [1] Burgess, L.; Street, D., Optimal designs for choice experiments with asymmetric attributes, Journal of Statistical Planning and Inference, 134, 288-301 (2005) · Zbl 1066.62073 [3] Das, A.; Dey, A., Optimal main effect plans with non-orthogonal blocks, Sankhya, 66, 378-384 (2004) · Zbl 1193.62129 [4] Grasshoff, U.; Grossmann, H.; Holling, H.; Schwabe, R., Optimal designs for main effects in linear paired comparison models, Journal of Statistical Planning and Inference, 126, 361-376 (2004) · Zbl 1065.62134 [5] Hedayat, A. S.; Sloane, N. J.A.; Stufken, J., Orthogonal ArraysTheory and Applications (1999), Springer: Springer New York · Zbl 0935.05001 [7] Mukerjee, R.; Dey, A.; Chatterjee, K., Optimal main effect plans with non-orthogonal blocking, Biometrika, 89, 225-229 (2002) · Zbl 0996.62072 [8] Street, D.; Burgess, L., The Construction of Optimal Stated Choice ExperimentsTheory and Methods (2007), Wiley: Wiley New York This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.